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Finding the Fourth Proportional to 53,205.60, 73,410.48 and 34,320

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Solution

The fourth proportional to 53,205.60, 73,410.48 and 34,320 is: 47,353.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,205.60 : 73,410.48 = 34,320 : x
  2. Step 2: Convert to fraction form
    53,205.60/73,410.48 = 34,320/x
  3. Step 3: Cross multiply
    53,205.60x = 73,410.48 × 34,320
  4. Step 4: Simplify right side
    53,205.60x = 2,519,447,673.60
  5. Step 5: Solve for x
    x = 2,519,447,673.60/53,205.60
  6. Step 6: Final answer
    x = 47,353.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.